Semi-Implicit Solution of the Convection-Diffusion Problems with Applications in Fluid Dynamics

We deal with the time discretization of the system of ordinary differential equations arising from the discontinuous Galerkin discretization of a scalar convection-diffusion equation. We discuss several semi-implicit techniques, which lead to a sufficiently stable scheme and to a necessity to solve...

Full description

Saved in:
Bibliographic Details
Main Authors: Dolejsi, Vit, Holik, Martin, Hozman, Jiri, Vlasak, Miloslav
Format: Conference Proceeding
Language:English
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We deal with the time discretization of the system of ordinary differential equations arising from the discontinuous Galerkin discretization of a scalar convection-diffusion equation. We discuss several semi-implicit techniques, which lead to a sufficiently stable scheme and to a necessity to solve only linear problem at each time level. An extension to the system of the Navier-Stokes equations is presented and demonstrated by a numerical example.
ISSN:0094-243X
DOI:10.1063/1.3241282